In the following exercise, find the smallest interval for theta [from this point on i will denote theta as '*' for ease of typing] starting with * min= 0 so that your graphing utility graphs the given polar equation exactly once without retracing any portion of it.

r= 4sin(*)

I'm using a graphing calculator to do this (TI 83-Plus) but I'm having some trouble with it. Is there a method to doing this or is it a guess-and-check number punching thing? I'm having a hard time determining when my graph is repeating itself and when it isn't. Any help would be appreciated.

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asked by Chris

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